A ladder is resting against a wall at an angl | vedclass

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(B) Let the ladder be represented by a line segment. The man is moving along the ladder at a speed of $v = 3 \, ft/sec$.The angle between the ladder a

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$\frac{3}{2} \, ft/sec$

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(B) Let the ladder be represented by a line segment. The man is moving along the ladder at a speed of $v = 3 \, ft/sec$.The angle between the ladder and the wall is $30^\circ$.The component of the velocity vector along the horizontal direction (towards the wall) is given by $v 	imes \sin(	heta)$,where $	heta$ is the angle with the wall.Alternatively,if we consider the angle with the ground,it is $60^\circ$. The horizontal velocity is $v 	imes \cos(60^\circ)$.Rate of approaching the wall $= 3 	imes \cos(60^\circ) = 3 	imes \frac{1}{2} = \frac{3}{2} \, ft/sec$.

$A$ ladder is resting against a wall at an angle of $30^\circ$ with the wall. $A$ man is ascending the ladder at the rate of $3 \, ft/sec$. His rate of approaching the wall is:

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